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Finding the Third Proportional to 141,099.50 and 218,570

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Solution

The third proportional to 141,099.50 and 218,570 is: 338,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,099.50 : 218,570 = 218,570 : x
  2. Step 2: Convert to fraction form
    141,099.50/218,570 = 218,570/x
  3. Step 3: Cross multiply
    141,099.50x = 218,570 × 218,570
  4. Step 4: Simplify right side
    141,099.50x = 47,772,844,900
  5. Step 5: Solve for x
    x = 47,772,844,900/141,099.50
  6. Step 6: Final answer
    x = 338,575.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.